20231006160000 has 160 divisors (see below), whose sum is σ = 67151767993200. Its totient is φ = 5394934912000.

The previous prime is 20231006159993. The next prime is 20231006160019. The reversal of 20231006160000 is 6160013202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×20231006160000⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41907930 + ... + 42387929.

Almost surely, 2^{20231006160000} is an apocalyptic number.

20231006160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231006160000 is an abundant number, since it is smaller than the sum of its proper divisors (46920761833200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231006160000 is an frugal number, since it uses more digits than its factorization.

20231006160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84295896 (or 84295869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20231006160000 its reverse (6160013202), we get a palindrome (20237166173202).

The spelling of 20231006160000 in words is "twenty trillion, two hundred thirty-one billion, six million, one hundred sixty thousand".